Prado hit .282/.321/.412 in 573 at-bats on the season.
Pirela hit .305/.351/.441 in 130 games at Triple-A this season.
Prado hit .316/.336/.541 with seven home runs and 16 RBI in 133 at-bats after joining the Yankees at the trade deadline. He is under contract for next season, and figure to be in the team's plans as a super-utility player.
Arcia suffered the injury in the sixth inning and was replaced in the eighth by a pinch-hitter. After the game, manager Ron Gardenhire told MLB.com he hopes the injury is not a serious one, but should know more Tuesday.
Arcia is second on the team with 18 home runs in just 333 at-bats, while hitting .231/.304/.456 overall.
Shoemaker left his start Monday in the eighth inning with the discomfort, but it is not considered a serious issue at this point. It is not clear whether this is expected to impact his availability for his scheduled start against the Rangers Saturday.
Tolleson stayed in the game and wasn't removed until the eighth inning. He finished 2 for 3 with a pair of singles in a 5-2 defeat. He is hitting .241 with three homers and 14 RBI over 158 at-bats. His status remains uncertain for Tuesday in Baltimore.
Over his last five starts covering 21 1/3 innings, Iwakuma has allowed 22 earned runs. He owns a 3.42 ERA and a 1.04 WHIP over 26 starts (168 1/3 innings). His next start will come Saturday at Houston.
Over his last two starts covering 14 1/3 innings, Shoemaker has allowed two earned runs. He owns a 3.04 ERA and a 1.07 WHIP over 136 innings of work. His next start will come Saturday at home against Texas.
Over his last three starts covering 23 innings, Cashner has allowed four earned runs. He owns a 2.20 ERA and a 1.13 WHIP over 17 starts (110 1/3 innings). His next start will come Saturday at home against San Francisco.
Over his last three starts covering 17 2/3 innings, Williams has allowed eight earned runs. He owns a 5.03 ERA and a 1.44 WHIP over 102 innings of work. His next start will come Saturday at Oakland.